Variational Principles and Cosmological Models in Higher-Order Gravity

Details Variational Principles and Cosmological Models in Higher-Order Gravity Variational Principles and Cosmological Models in Higher-Order Gravity

1999-02-14

arxiv.org/abs/gr-qc/9902044v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Doctoral dissertation, LaTeX2e, 194 pages, no figures

Scientific paper

This dissertation investigates three main topics, all of which dealing with alternative, higher-order gravity theories in four dimensions. Firstly, we study the variational and conformal structure of those theories. Next, we analyse their Hamiltonian formulation and in particular its relationship with the famous ADM canonical version of general relativity. Finally, we study higher-order spatially homogeneous cosmologies and exemplify how Hamiltonian methods can be utilised to simplify the analysis of the associated field equations.

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